Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/911, 7893/7942 quickly i.e. 607761 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/911, 7893/7942 is 607761.
LCM(77/911, 7893/7942) = 607761
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/911,7893/7942
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 77,7893
Least Common Multiple of Numerators i.e. LCM of 77,7893 is 607761.
GCF of Denominators means GCF of 911,7942 as per the given fractions.
GCF of 911,7942 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,7893
Given numbers has no common factors except 1. So, there LCM is their product i.e 607761
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 77,7893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,7893) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,7893) x common factors =1 x 1 = 1
LCM(77,7893) = ( 77 × 7893 ) / 1
LCM(77,7893) = 607761 / 1
LCM(77,7893) = 607761
Lets's calculate GCF of 911,7942
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 607761/1
Therefore the LCM of Fractions 77/911,7893/7942 is 607761
Factors of 911
List of positive integer factors of 911 that divides 911 without a remainder.
1,911
Factors of 7942
List of positive integer factors of 7942 that divides 7942 without a remainder.
1,2,11,19,22,38,209,361,418,722,3971,7942
Greatest Common Factor
We found the factors 911,7942 . The biggest common factor number is the GCF number.
So the greatest common factor 911,7942 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 77/911, 7893/7942?
Answer: LCM of Numerators as per given numbers 77/911, 7893/7942 is
LCM of Numerators i.e. for 77,7893 is 607761
GCF of denominators i.e. for 911,7942 is 1.
Thus, LCM of Fractions is 607761.Finally, LCM of Fractions for 77/911, 7893/7942 is 607761.